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Finding the Fourth Proportional to 989.69, 1,486.06 and 805.33

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Solution

The fourth proportional to 989.69, 1,486.06 and 805.33 is: 1,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.69 : 1,486.06 = 805.33 : x
  2. Step 2: Convert to fraction form
    989.69/1,486.06 = 805.33/x
  3. Step 3: Cross multiply
    989.69x = 1,486.06 × 805.33
  4. Step 4: Simplify right side
    989.69x = 1,196,762.97
  5. Step 5: Solve for x
    x = 1,196,762.97/989.69
  6. Step 6: Final answer
    x = 1,209.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.